826560480 has 96 divisors (see below), whose sum is σ = 2635161984. Its totient is φ = 217750016.

The previous prime is 826560479. The next prime is 826560509. The reversal of 826560480 is 84065628.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29467 + ... + 50213.

It is an arithmetic number, because the mean of its divisors is an integer number (27449604).

Almost surely, 2^826560480 is an apocalyptic number.

826560480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317580992).

826560480 is an abundant number, since it is smaller than the sum of its proper divisors (1808601504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

826560480 is a wasteful number, since it uses less digits than its factorization.

826560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848 (or 20840 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 826560480 is about 28749.9648695438. The cubic root of 826560480 is about 938.4796912399.

The spelling of 826560480 in words is "eight hundred twenty-six million, five hundred sixty thousand, four hundred eighty".